%0 Journal Article %T Absence of squirt singularities for the multi-phase Muskat problem %A Diego Cordoba %A Francisco Gancedo %J Mathematics %D 2009 %I arXiv %R 10.1007/s00220-010-1084-x %X In this paper we study the evolution of multiple fluids with different constant densities in porous media. This physical scenario is known as the Muskat and the (multi-phase) Hele-Shaw problems. In this context we prove that the fluids do not develop squirt singularities. %U http://arxiv.org/abs/0911.4109v1